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Despite Mr Farage sitting favourably with Trump by being the first British politician to visit the States to congratulate the Republican on his election win, Mrs May has rejected the idea of Mr Farage acting as an informal link.

Downing Street last week insisted there was “no vacancy” for Mr Farage to act as a UK-UK advisor, but Trump nevertheless tweeted that the Ukip supremo would make a “great” ambassador to the US.

And Mr Farage is currently preparing to visit the States next week to meet with Trump again.

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Nigel Farage was the first British politician to visit Trump following his election win

But regardless of the pair’s eagerness to work together, Mrs May has forged ahead in her efforts to cooperate with the incoming President.

A source close to the Prime Minister has insisted the two politicians want “to build close relationships” and “establish a regular dialogue”.

Mrs May and Trump discussed security issues during their latest chat, and agreed that more Nato member states need to invest at least 2 per cent of their GDP in defence.

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The Prime Minister called the US President-elect this afternoon as part of establishing a regular dialogue between both of them

Downing Street spokesperson

A Number 10 spokesperson said: “The Prime Minister called the US President-elect this afternoon as part of establishing a regular dialogue between both of them.

“They discussed how the President-elect’s transition plans were progressing and agreed that their teams should continue to build close relationships through this period, including with a meeting of their national security advisers in the United States before Christmas.

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Trump agreed with Mrs May on Nato policies

The spokesperson added: “They discussed Nato, agreeing on the importance of the alliance, the need for more Nato members to meet the target of spending 2 per cent of GDP, and the role that Nato can play in addressing diverse threats.

“They agreed to stay in close touch and to meet at the earliest possible opportunity.”